Abstract
Regularities encountered for some systems with non-eneric spacing distributions are discussed and a corollary which connects these regularities with the Einstein-Brillouin-Keller (EBK) quantized energy levels is formulated. Properties of quantum systems are investigated with the help of finite elements probability distributions. Analytic properties of three-point finite-element distributions are investigated. Four-point finite-element distributions for an integrable model are presented. Analytic properties of such distributions for chaotic and integrable models are discussed.
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